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Finding the Fourth Proportional to 16,181.51, 24,241.13 and 11,668.75

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Solution

The fourth proportional to 16,181.51, 24,241.13 and 11,668.75 is: 17,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.51 : 24,241.13 = 11,668.75 : x
  2. Step 2: Convert to fraction form
    16,181.51/24,241.13 = 11,668.75/x
  3. Step 3: Cross multiply
    16,181.51x = 24,241.13 × 11,668.75
  4. Step 4: Simplify right side
    16,181.51x = 282,863,654.26
  5. Step 5: Solve for x
    x = 282,863,654.26/16,181.51
  6. Step 6: Final answer
    x = 17,480.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.